Least Common Multiple (LCM) of 175 and 121
The least common multiple (LCM) of 175 and 121 is 21175.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 175 and 121?
First, calculate the GCD of 175 and 121 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 175 ÷ 121 = 1 remainder 54 |
| 2 | 121 ÷ 54 = 2 remainder 13 |
| 3 | 54 ÷ 13 = 4 remainder 2 |
| 4 | 13 ÷ 2 = 6 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 117 and 72 | 936 |
| 68 and 58 | 1972 |
| 112 and 149 | 16688 |
| 160 and 159 | 25440 |
| 28 and 105 | 420 |